Finite Group Databasebeta

← #13561944

Subgroups — #13561944

Order 1792.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2766C211yesmaximal, characteristic, complemented
2#11735868C211yesmaximal, characteristic, complemented
3#11735860C211yesmaximal, characteristic, complemented
4#11735845C211yesmaximal, characteristic, complemented
5#11735844C211yesmaximal, characteristic, complemented
6#11735635C211yesmaximal, characteristic, complemented
7#11735611C211yesmaximal, characteristic, complemented
8#11735434C211yesmaximal, characteristic, complemented
9#11735427C211yesmaximal, characteristic, complemented
10#11735345C211yesmaximal, characteristic, complemented
11#11735266C211yesmaximal, characteristic, complemented
12#11735266C211yesmaximal, characteristic, complemented
13#11735206C211yesmaximal, characteristic, complemented
14#11733731C211yesmaximal, characteristic, complemented
15#11733617C211yesmaximal, characteristic, complemented
16#11733567C211yesmaximal, characteristic, complemented
17#11733422C211yesmaximal, characteristic, complemented
18#11732872C211yesmaximal, characteristic, complemented
19#11732872C211yesmaximal, characteristic, complemented
20#11732777C211yesmaximal, characteristic, complemented
21#11732661C211yesmaximal, characteristic, complemented
22#11732605C211yesmaximal, characteristic
23#11732599C211yesmaximal, characteristic, complemented
24#11732563C211yesmaximal, characteristic, complemented
25#11732514C211yesmaximal, characteristic, complemented
26#11732401C211yesmaximal, characteristic, complemented
27#11732382C211yesmaximal, characteristic, complemented
28#11731758C211yesmaximal, characteristic, complemented
29#11731750C211yesmaximal, characteristic, complemented
30#11731702C211yesmaximal, characteristic, complemented
31#11731694C211yesmaximal, characteristic, complemented
32C2×#6461C2211yescharacteristic
33C2×#6458C2211yescharacteristic
34C2×#6457C2211yescharacteristic
35C2×#6457C2211yescharacteristic
36C2×#6457C2211yescharacteristic
37C2×#6456C2211yescharacteristic
38C2×#6455C2211yescharacteristic
39C2×C42×D7C2211yescharacteristic
40C2×#6433C2211yescharacteristic
41C7×#401C2211yescharacteristic
42C7×#400C2211yescharacteristic
43C7×#400C2211yescharacteristic
44C7×#398C2211yescharacteristic
45C7×#398C2211yescharacteristic
46C7×#398C2211yescharacteristic
47C7×#389C2211yescharacteristic
48C7×#389C2211yescharacteristic
49C7×#387C2211yescharacteristic
50C7×#387C2211yescharacteristic
51C7×#387C2211yescharacteristic
52C7×#387C2211yescharacteristic
53C7×#387C2211yescharacteristic
54C7×#383C2211yescharacteristic
55C7×#382C2211yescharacteristic
56#89766C2211yescharacteristic
57#89766C2211yescharacteristic
58#89766C2211yescharacteristic
59#89766C2211yescharacteristic
60#89766C2211yescharacteristic
61#89766C2211yescharacteristic
62#89765C2211yescharacteristic
63#89763C2211yescharacteristic
64#89763C2211yescharacteristic
65#89763C2211yescharacteristic
66#89763C2211yescharacteristic
67#89763C2211yescharacteristic
68#89762C2211yescharacteristic
69#89762C2211yescharacteristic
70#89762C2211yescharacteristic
71#89762C2211yescharacteristic
72#89762C2211yescharacteristic
73#89762C2211yescharacteristic
74#89761C2211yescharacteristic
75#89761C2211yescharacteristic
76#89761C2211yescharacteristic
77#89761C2211yescharacteristic
78#89760C2211yescharacteristic
79#89760C2211yescharacteristic
80#89759C2211yescharacteristic
81#89759C2211yescharacteristic
82#89759C2211yescharacteristic
83#89759C2211yescharacteristic
84#89757C2211yescharacteristic
85#89757C2211yescharacteristic
86#89757C2211yescharacteristic
87#89757C2211yescharacteristic
88#89756C2211yescharacteristic
89#89754C2211yescharacteristic
90#89753C2211yescharacteristic
91#89753C2211yescharacteristic
92#89753C2211yescharacteristic
93#89753C2211yescharacteristic
94#89750C2211yescharacteristic
95#89745C2211yescharacteristic
96#89744C2211yescharacteristic
97#89712C2211yescharacteristic
98#89712C2211yescharacteristic
99#89711C2211yescharacteristic
100#89711C2211yescharacteristic
101#89711C2211yescharacteristic
102#89711C2211yescharacteristic
103C4×(C2×D7)⋊C4C2211yescharacteristic
104#89709C2211yescharacteristic
105#89705C2211yescharacteristic
106C4×Dic7⋊C4C2211yescharacteristic
107#89449C2211yescharacteristic
108#89448C2211yescharacteristic
109#89447C2211yescharacteristic
110#89447C2211yescharacteristic
111#89447C2211yescharacteristic
112#89447C2211yescharacteristic
113#89447C2211yescharacteristic
114#89447C2211yescharacteristic
115#89447C2211yescharacteristic
116#89447C2211yescharacteristic
117#89446C2211yescharacteristic
118#89446C2211yescharacteristic
119#89446C2211yescharacteristic
120#89446C2211yescharacteristic
121#89444C2211yescharacteristic
122#89444C2211yescharacteristic
123#89444C2211yescharacteristic
124#89444C2211yescharacteristic
125#89443C2211yescharacteristic
126#89443C2211yescharacteristic
127#89443C2211yescharacteristic
128#89442C2211yescharacteristic
129#89442C2211yescharacteristic
130#89442C2211yescharacteristic
131#89442C2211yescharacteristic
132#89442C2211yescharacteristic
133#89442C2211yescharacteristic
134#89441C2211yescharacteristic
135#89441C2211yescharacteristic
136#89441C2211yescharacteristic
137#89441C2211yescharacteristic
138#89441C2211yescharacteristic
139#89441C2211yescharacteristic
140#89441C2211yescharacteristic
141#89441C2211yescharacteristic
142#89441C2211yescharacteristic
143#89440C2211yescharacteristic
144#89440C2211yescharacteristic
145#89440C2211yescharacteristic
146#89440C2211yescharacteristic
147#89440C2211yescharacteristic
148#89440C2211yescharacteristic
149#89440C2211yescharacteristic
150#89439C2211yescharacteristic
151#89438C2211yescharacteristic
152#89438C2211yescharacteristic
153#89438C2211yescharacteristic
154#89437C2211yescharacteristic
155#89437C2211yescharacteristic
156#89437C2211yescharacteristic
157#89437C2211yescharacteristic
158#89437C2211yescharacteristic
159#89437C2211yescharacteristic
160#89437C2211yescharacteristic
161#89437C2211yescharacteristic
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89436C2211yescharacteristic
166#89432C2211yescharacteristic
167#89432C2211yescharacteristic
168#89432C2211yescharacteristic
169#89431C2211yescharacteristic
170#89430C2211yescharacteristic
171#89429C2211yescharacteristic
172#89429C2211yescharacteristic
173#89427C2211yescharacteristic
174#89426C2211yescharacteristic
175#89425C2211yescharacteristic
176#89425C2211yescharacteristic
177#89425C2211yescharacteristic
178#89425C2211yescharacteristic
179#89424C2211yescharacteristic
180#89424C2211yescharacteristic
181#89423C2211yescharacteristic
182#89421C2211yescharacteristic
183#89421C2211yescharacteristic
184#89420C2211yescharacteristic
185#89419C2211yescharacteristic
186#89419C2211yescharacteristic
187#36770—71nomaximal, Sylow
188C22×D28C2311yescharacteristic
189C22×D28C2311yescharacteristic
190C22×D28C2311yescharacteristic
191C22×D28C2311yescharacteristic
192C22×D28C2311yescharacteristic
193C22×D28C2311yescharacteristic
194C22×C4×D7C2311yescharacteristic
195C22×C4×D7C2311yescharacteristic
196C22×C4×D7C2311yescharacteristic
197C22×C4×D7C2311yescharacteristic
198C22×C4×D7C2311yescharacteristic
199C22×C4×D7C2311yescharacteristic
200C2×C7×C4⋊C4C2311yescharacteristic
201C2×C7×C4⋊C4C2311yescharacteristic
202C2×C7×C4⋊C4C2311yescharacteristic
203C2×C7×C4⋊C4C2311yescharacteristic
204C2×C7×C4⋊C4C2311yescharacteristic
205C2×C7×C4⋊C4C2311yescharacteristic
206C2×C7×C4⋊C4C2311yescharacteristic
207C2×C7×C4⋊C4C2311yescharacteristic
208C2×C7×C4⋊C4C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C4⋊C4C2311yescharacteristic
211C2×C7×C4⋊C4C2311yescharacteristic
212C2×C42×C7C2311yescharacteristic
213C2×C42×C7C2311yescharacteristic
214C2×C42×C7C2311yescharacteristic
215C2×(C2×D7)⋊C4C2311yescharacteristic
216C2×(C2×D7)⋊C4C2311yescharacteristic
217C2×(C2×D7)⋊C4C2311yescharacteristic
218C2×(C2×D7)⋊C4C2311yescharacteristic
219C2×(C2×D7)⋊C4C2311yescharacteristic
220C2×(C2×D7)⋊C4C2311yescharacteristic
221C2×(C2×D7)⋊C4C2311yescharacteristic
222C2×(C2×D7)⋊C4C2311yescharacteristic
223C2×(C2×D7)⋊C4C2311yescharacteristic
224C2×(C2×D7)⋊C4C2311yescharacteristic
225C2×(C2×D7)⋊C4C2311yescharacteristic
226C2×(C2×D7)⋊C4C2311yescharacteristic
227C2×(C2×D7)⋊C4C2311yescharacteristic
228C2×(C2×D7)⋊C4C2311yescharacteristic
229C2×(C2×D7)⋊C4C2311yescharacteristic
230C2×(C2×D7)⋊C4C2311yescharacteristic
231C2×(C2×D7)⋊C4C2311yescharacteristic
232C2×(C2×D7)⋊C4C2311yescharacteristic
233C2×(C2×D7)⋊C4C2311yescharacteristic
234C2×(C2×D7)⋊C4C2311yescharacteristic
235C2×(C2×D7)⋊C4C2311yescharacteristic
236C2×(C2×D7)⋊C4C2311yescharacteristic
237C2×(C2×D7)⋊C4C2311yescharacteristic
238C2×(C2×D7)⋊C4C2311yescharacteristic
239C2×(C2×D7)⋊C4C2311yescharacteristic
240C2×(C2×D7)⋊C4C2311yescharacteristic
241C2×(C2×D7)⋊C4C2311yescharacteristic
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×C4⋊Dic7C2311yescharacteristic
258C2×C4⋊Dic7C2311yescharacteristic
259C2×C4⋊Dic7C2311yescharacteristic
260C2×C4⋊Dic7C2311yescharacteristic
261C2×C4⋊Dic7C2311yescharacteristic
262C2×C4⋊Dic7C2311yescharacteristic
263C2×C4⋊Dic7C2311yescharacteristic
264C2×C4⋊Dic7C2311yescharacteristic
265C2×C4⋊Dic7C2311yescharacteristic
266C2×C4⋊Dic7C2311yescharacteristic
267C2×Dic7⋊C4C2311yescharacteristic
268C2×Dic7⋊C4C2311yescharacteristic
269C2×Dic7⋊C4C2311yescharacteristic
270C2×Dic7⋊C4C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×C4×Dic7C2311yescharacteristic
282C2×C4×Dic7C2311yescharacteristic
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291#6461—42no—
292#6458—42no—
293#6457—24no—
294#6457—24no—
295#6457—42no—
296#6456—24no—
297#6455—42no—
298C42×D7—42no—
299#6433—42no—
300C7×#95C2311yescharacteristic
301C7×#95C2311yescharacteristic
302C7×#95C2311yescharacteristic
303C7×#95C2311yescharacteristic
304C7×#95C2311yescharacteristic
305C7×#95C2311yescharacteristic
306C7×#95C2311yescharacteristic
307C7×#95C2311yescharacteristic
308C7×#95C2311yescharacteristic
309C7×#95C2311yescharacteristic
310C7×#95C2311yescharacteristic
311C7×#95C2311yescharacteristic
312C7×#95C2311yescharacteristic
313C7×#95C2311yescharacteristic
314C7×#95C2311yescharacteristic
315C7×#95C2311yescharacteristic
316C7×#95C2311yescharacteristic
317C7×#95C2311yescharacteristic
318C7×#95C2311yescharacteristic
319C7×#95C2311yescharacteristic
320C7⋊#95C2311yescharacteristic
321C7⋊#95C2311yescharacteristic
322C7⋊#95C2311yescharacteristic
323C7⋊#95C2311yescharacteristic
324C7⋊#95C2311yescharacteristic
325C7⋊#95C2311yescharacteristic
326C7⋊#95C2311yescharacteristic
327C7⋊#95C2311yescharacteristic
328C7⋊#95C2311yescharacteristic
329C7⋊#95C2311yescharacteristic
330C7⋊#95C2311yescharacteristic
331C7⋊#95C2311yescharacteristic
332C7⋊#95C2311yescharacteristic
333C7⋊#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352#2854—71no—
353#2851—71no—
354#2800—71no—
355#2796—71no—
356#2779—71no—
357#2778—71no—
358#2777—71no—
359#2770—71no—
360#2766D711yescharacteristic, complemented
361#2757—71no—
362#2757—71no—
363#2753—71no—
364#2749—71no—
365#2739—71no—
366#2725—71no—
367#2714—71no—
368#2708—71no—
369#2707—71no—
370#2630—71no—
371#2630—71no—
372#2595—71no—
373#2594—71no—
374#2578—71no—
375#2577—71no—
376#2533—71no—
377#2526—71no—
378#2478—71no—
379#2471—71no—
380#2335—71no—
381#2335—71no—
382#2290—71no—
383C23×D7C2411yescharacteristic
384C23×D7C2411yescharacteristic
385C23×D7C2411yescharacteristic
386C23×D7C2411yescharacteristic
387C22×C4×C7C2411yescharacteristic
388C22×C4×C7C2411yescharacteristic
389C22×C4×C7C2411yescharacteristic
390C22×C4×C7C2411yescharacteristic
391C22×C4×C7C2411yescharacteristic
392C22×C4×C7C2411yescharacteristic
393C22×C4×C7C2411yescharacteristic
394C22×C4×C7C2411yescharacteristic
395C22×C4×C7C2411yescharacteristic
396C22×C4×C7C2411yescharacteristic
397C22×C4×C7C2411yescharacteristic
398C22×C4×C7C2411yescharacteristic
399C22×C4×C7C2411yescharacteristic
400C22×C4×C7C2411yescharacteristic
401C22×C4×C7C2411yescharacteristic
402C22×Dic7C2411yescharacteristic
403C22×Dic7C2411yescharacteristic
404C22×Dic7C2411yescharacteristic
405C22×Dic7C2411yescharacteristic
406C22×Dic7C2411yescharacteristic
407C22×Dic7C2411yescharacteristic
408C22×Dic7C2411yescharacteristic
409C22×Dic7C2411yescharacteristic
410C22×Dic7C2411yescharacteristic
411C22×Dic7C2411yescharacteristic
412C22×Dic7C2411yescharacteristic
413C22×Dic7C2411yescharacteristic
414C2×D28—22no—
415C2×D28—22no—
416C2×D28—22no—
417C2×D28—22no—
418C2×D28—41no—
419C2×D28—41no—
420C2×D28—41no—
421C2×D28—41no—
422C2×D28—41no—
423C2×D28—41no—
424C2×D28—41no—
425C2×D28—41no—
426C2×D28—41no—
427C2×D28—41no—
428C2×D28—41no—
429C2×D28—41no—
430C2×D28—41no—
431C2×D28—41no—
432C2×C4×D7—22no—
433C2×C4×D7—22no—
434C2×C4×D7—41no—
435C2×C4×D7—41no—
436C2×C4×D7—41no—
437C2×C4×D7—41no—
438C2×C4×D7—41no—
439C2×C4×D7—41no—
440C2×C4×D7—41no—
441C2×C4×D7—41no—
442C2×C4×D7—41no—
443C2×C4×D7—41no—
444C2×C4×D7—41no—
445C2×C4×D7—41no—
446C2×C4×D7—41no—
447C2×C4×D7—41no—
448C2×C4×D7—41no—
449C2×C4×D7#4114yes—
450C7×C4⋊C4—22no—
451C7×C4⋊C4—22no—
452C7×C4⋊C4—22no—
453C7×C4⋊C4—22no—
454C7×C4⋊C4—22no—
455C7×C4⋊C4—41no—
456C7×C4⋊C4—41no—
457C7×C4⋊C4—41no—
458C7×C4⋊C4—41no—
459C7×C4⋊C4—41no—
460C7×C4⋊C4—41no—
461C7×C4⋊C4—41no—
462C42×C7—22no—
463C42×C7—41no—
464C42×C7—41no—
465(C2×D7)⋊C4—22no—
466(C2×D7)⋊C4—22no—
467(C2×D7)⋊C4—22no—
468(C2×D7)⋊C4—22no—
469(C2×D7)⋊C4—22no—
470(C2×D7)⋊C4—22no—
471(C2×D7)⋊C4—22no—
472(C2×D7)⋊C4—22no—
473(C2×D7)⋊C4—22no—
474(C2×D7)⋊C4—41no—
475(C2×D7)⋊C4—41no—
476(C2×D7)⋊C4—41no—
477(C2×D7)⋊C4—41no—
478(C2×D7)⋊C4—41no—
479(C2×D7)⋊C4—41no—
480(C2×D7)⋊C4—41no—
481(C2×D7)⋊C4—41no—
482(C2×D7)⋊C4—41no—
483(C2×D7)⋊C4—41no—
484(C2×D7)⋊C4—41no—
485(C2×D7)⋊C4—41no—
486(C2×D7)⋊C4—41no—
487(C2×D7)⋊C4—41no—
488(C2×D7)⋊C4—41no—
489(C2×D7)⋊C4—41no—
490(C2×D7)⋊C4—41no—
491(C2×D7)⋊C4—41no—
492(C2×D7)⋊C4—41no—
493(C2×D7)⋊C4—41no—
494(C2×D7)⋊C4—41no—
495(C2×D7)⋊C4—41no—
496(C2×D7)⋊C4—41no—
497(C2×D7)⋊C4—41no—
498(C2×D7)⋊C4—41no—
499(C2×D7)⋊C4—41no—
500(C2×D7)⋊C4—41no—
501(C2×D7)⋊C4—41no—
502(C2×D7)⋊C4—41no—
503(C2×D7)⋊C4—41no—
504(C2×D7)⋊C4—41no—
505(C2×D7)⋊C4—41no—
506(C2×D7)⋊C4—41no—
507C4⋊Dic7—41no—
508C4⋊Dic7—41no—
509C4⋊Dic7—41no—
510C4⋊Dic7—41no—
511C4⋊Dic7—41no—
512C4⋊Dic7—41no—
513C4⋊Dic7—41no—
514C4⋊Dic7—41no—
515C4⋊Dic7—41no—
516C4⋊Dic7—41no—
517Dic7⋊C4—22no—
518Dic7⋊C4—22no—
519Dic7⋊C4—22no—
520Dic7⋊C4—22no—
521Dic7⋊C4—41no—
522Dic7⋊C4—41no—
523Dic7⋊C4—41no—
524Dic7⋊C4—41no—
525Dic7⋊C4—41no—
526Dic7⋊C4—41no—
527Dic7⋊C4—41no—
528Dic7⋊C4—41no—
529Dic7⋊C4—41no—
530Dic7⋊C4—41no—
531C4×Dic7—22no—
532C4×Dic7—22no—
533C4×Dic7—41no—
534C4×Dic7—41no—
535C4×Dic7—41no—
536C4×Dic7—41no—
537C4×Dic7—41no—
538C4×Dic7—41no—
539C4×Dic7—41no—
540C4×Dic7—41no—
541C2×#126—71no—
542C2×#125—71no—
543C2×#123—71no—
544C2×#123—71no—
545C2×#123—71no—
546C2×#121—71no—
547C2×C4×D4—71no—
548C2×#117—71no—
549C22×C42—71no—
550#401C2×D711yescharacteristic
551#400—71no—
552#400—71no—
553#400—71no—
554#400—71no—
555#400—71no—
556#400—71no—
557#400C2×D711yescharacteristic
558#400C2×D711yescharacteristic
559#399—71no—
560#398—71no—
561#398—71no—
562#398—71no—
563#398C2×D711yescharacteristic
564#398C2×D711yescharacteristic
565#398C2×D711yescharacteristic
566#397—71no—
567#397—71no—
568#397—71no—
569#397—71no—
570#397—71no—
571#397—71no—
572#397—71no—
573#397—71no—
574#397—71no—
575#397—71no—
576#397—71no—
577#397—71no—
578#397—71no—
579#396—71no—
580#396—71no—
581#396—71no—
582#396—71no—
583#396—71no—
584#396—71no—
585#396—71no—
586#394—71no—
587#394—71no—
588#394—71no—
589#394—71no—
590#394—71no—
591#394—71no—
592#394—71no—
593#394—71no—
594#394—71no—
595#392—71no—
596#392—71no—
597#392—71no—
598#390—71no—
599#390—71no—
600#390—71no—
601#390—71no—
602#390—71no—
603#390—71no—
604#389—71no—
605#389—71no—
606#389—71no—
607#389—71no—
608#389—71no—
609#389—71no—
610#389—71no—
611#389—71no—
612#389C2×D711yescharacteristic
613#389C2×D711yescharacteristic
614#388—71no—
615#388—71no—
616#388—71no—
617#388—71no—
618#388—71no—
619#388—71no—
620#388—71no—
621#388—71no—
622#388—71no—
623#388—71no—
624#388—71no—
625#388—71no—
626#388—71no—
627#388—71no—
628#388—71no—
629#388—71no—
630#388—71no—
631#388—71no—
632#388—71no—
633#388—71no—
634#388—71no—
635#388—71no—
636#388—71no—
637#387—71no—
638#387—71no—
639#387—71no—
640#387—71no—
641#387—71no—
642#387—71no—
643#387—71no—
644#387—71no—
645#387—71no—
646#387—71no—
647#387—71no—
648#387—71no—
649#387—71no—
650#387—71no—
651#387C2×D711yescharacteristic
652#387C2×D711yescharacteristic
653#387C2×D711yescharacteristic
654#387C2×D711yescharacteristic
655#387C2×D711yescharacteristic
656#386—71no—
657#386—71no—
658#386—71no—
659#386—71no—
660#386—71no—
661#386—71no—
662#386—71no—
663#386—71no—
664#386—71no—
665#386—71no—
666#386—71no—
667#385—71no—
668#385—71no—
669#385—71no—
670#385—71no—
671#385—71no—
672#385—71no—
673#385—71no—
674#385—71no—
675#385—71no—
676#385—71no—
677#385—71no—
678#383—71no—
679#383—71no—
680#383C2×D711yescharacteristic
681#382C2×D711yescharacteristic
682#381—71no—
683#380—71no—
684#380—71no—
685#380—71no—
686#380—71no—
687#380—71no—
688C4×C4⋊C4—71no—
689C4×C4⋊C4—71no—
690C4×C4⋊C4—71no—
691C4×C22⋊C4—71no—
692C4×C22⋊C4—71no—
693C4×C22⋊C4—71no—
694C4×C22⋊C4—71no—
695#376—71no—
696C23×C7C2511yescharacteristic
697C22×D7—21no—
698C22×D7—21no—
699C22×D7—21no—
700C22×D7—21no—
701C22×D7—21no—
702C22×D7—21no—
703C22×D7—21no—
704C22×D7—21no—
705C22×D7—21no—
706C22×D7—21no—
707C22×D7—21no—
708C22×D7—21no—
709C22×D7—21no—
710C22×D7—21no—
711C22×D7—21no—
712C22×D7—21no—
713C22×D7—21no—
714C22×D7—21no—
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7—21no—
722C22×D7—21no—
723C22×D7—21no—
724C22×D7C2×#4112yes—
725C2×C4×C7—21no—
726C2×C4×C7—21no—
727C2×C4×C7—21no—
728C2×C4×C7—21no—
729C2×C4×C7—21no—
730C2×C4×C7—21no—
731C2×C4×C7—21no—
732C2×C4×C7—21no—
733C2×C4×C7—21no—
734C2×C4×C7—21no—
735C2×C4×C7—21no—
736C2×C4×C7—21no—
737C2×C4×C7—21no—
738C2×C4×C7—21no—
739C2×C4×C7—21no—
740C2×C4×C7—21no—
741C2×C4×C7—21no—
742C2×C4×C7—21no—
743C2×C4×C7—21no—
744C2×C4×C7—21no—
745C2×C4×C7—21no—
746C2×C4×C7—21no—
747C2×C4×C7—21no—
748C2×C4×C7—21no—
749C2×C4×C7—21no—
750C2×C4×C7—21no—
751C2×C4×C7—21no—
752C2×C4×C7—21no—
753C2×C4×C7—21no—
754C2×C4×C7—21no—
755C2×C4×C7—21no—
756C2×C4×C7—21no—
757C2×C4×C7—21no—
758C2×C4×C7—21no—
759C2×C4×C7—21no—
760C2×C4×C7—21no—
761C2×C4×C7—21no—
762C2×C4×C7—21no—
763C2×C4×C7—21no—
764C2×C4×C7—21no—
765C2×C4×C7—21no—
766C2×C4×C7—21no—
767C2×C4×C7—21no—
768C2×C4×C7C2×#4112yes—
769C2×C4×C7H(5,𝔽2)12yes—
770C2×Dic7—21no—
771C2×Dic7—21no—
772C2×Dic7—21no—
773C2×Dic7—21no—
774C2×Dic7—21no—
775C2×Dic7—21no—
776C2×Dic7—21no—
777C2×Dic7—21no—
778C2×Dic7—21no—
779C2×Dic7—21no—
780C2×Dic7—21no—
781C2×Dic7—21no—
782C2×Dic7—21no—
783C2×Dic7—21no—
784C2×Dic7—21no—
785C2×Dic7—21no—
786C2×Dic7—21no—
787C2×Dic7—21no—
788C2×Dic7—21no—
789C2×Dic7—21no—
790C2×Dic7—21no—
791C2×Dic7—21no—
792C2×Dic7—21no—
793C2×Dic7—21no—
794C2×Dic7—21no—
795C2×Dic7—21no—
796C2×Dic7—21no—
797C2×Dic7—21no—
798C2×Dic7—21no—
799C2×Dic7—21no—
800C2×Dic7—21no—
801C2×Dic7—21no—
802C2×Dic7—21no—
803C2×Dic7—21no—
804C2×Dic7—21no—
805C2×Dic7C2×#4112yes—
806D28—44no—
807D28—82no—
808D28—82no—
809D28—82no—
810D28—82no—
811D28—82no—
812C4×D7—44no—
813C4×D7—44no—
814C4×D7—44no—
815C4×D7—44no—
816C4×D7—82no—
817C4×D7—82no—
818C22×D4—71no—
819C22×D4—71no—
820C22×D4—71no—
821C22×D4—71no—
822C22×D4—71no—
823C22×D4—71no—
824C23×C4—71no—
825C23×C4—71no—
826C23×C4—71no—
827C23×C4—71no—
828C23×C4—71no—
829C23×C4—71no—
830#126—282no—
831#125—282no—
832#123—144no—
833#123—144no—
834#123—282no—
835#121—282no—
836C4×D4—144no—
837#117—282no—
838C2×C4⋊C4—71no—
839C2×C4⋊C4—71no—
840C2×C4⋊C4—71no—
841C2×C4⋊C4—71no—
842C2×C4⋊C4—71no—
843C2×C4⋊C4—71no—
844C2×C4⋊C4—71no—
845C2×C4⋊C4—71no—
846C2×C4⋊C4—71no—
847C2×C4⋊C4—71no—
848C2×C4⋊C4—71no—
849C2×C4⋊C4—71no—
850C2×C4⋊C4—71no—
851C2×C4⋊C4—71no—
852C2×C4⋊C4—71no—
853C2×C4⋊C4—71no—
854C2×C4⋊C4—71no—
855C2×C4⋊C4—71no—
856C2×C4⋊C4—71no—
857C2×C4⋊C4—71no—
858C2×C4⋊C4—71no—
859C2×C4⋊C4—71no—
860C2×C4⋊C4—71no—
861C2×C4⋊C4—71no—
862C2×C4⋊C4C22×D711yescharacteristic
863C2×C4⋊C4C22×D711yescharacteristic
864C2×C4⋊C4C22×D711yescharacteristic
865C2×C4⋊C4C22×D711yescharacteristic
866C2×C4⋊C4C22×D711yescharacteristic
867C2×C4⋊C4C22×D711yescharacteristic
868C2×C4⋊C4C22×D711yescharacteristic
869C2×C4⋊C4C22×D711yescharacteristic
870C2×C4⋊C4C22×D711yescharacteristic
871C2×C4⋊C4C22×D711yescharacteristic
872C2×C4⋊C4C22×D711yescharacteristic
873C2×C4⋊C4C22×D711yescharacteristic
874C2×C22⋊C4—71no—
875C2×C22⋊C4—71no—
876C2×C22⋊C4—71no—
877C2×C22⋊C4—71no—
878C2×C22⋊C4—71no—
879C2×C22⋊C4—71no—
880C2×C22⋊C4—71no—
881C2×C22⋊C4—71no—
882C2×C22⋊C4—71no—
883C2×C22⋊C4—71no—
884C2×C22⋊C4—71no—
885C2×C22⋊C4—71no—
886C2×C22⋊C4—71no—
887C2×C22⋊C4—71no—
888C2×C22⋊C4—71no—
889C2×C22⋊C4—71no—
890C2×C22⋊C4—71no—
891C2×C22⋊C4—71no—
892C2×C22⋊C4—71no—
893C2×C22⋊C4—71no—
894C2×C22⋊C4—71no—
895C2×C22⋊C4—71no—
896C2×C22⋊C4—71no—
897C2×C22⋊C4—71no—
898C2×C22⋊C4—71no—
899C2×C22⋊C4—71no—
900C2×C22⋊C4—71no—
901C2×C22⋊C4—71no—
902C2×C22⋊C4—71no—
903C2×C22⋊C4—71no—
904C2×C22⋊C4—71no—
905C2×C22⋊C4—71no—
906C2×C22⋊C4—71no—
907C2×C22⋊C4—71no—
908C2×C22⋊C4—71no—
909C2×C22⋊C4—71no—
910C2×C22⋊C4—71no—
911C2×C22⋊C4—71no—
912C2×C22⋊C4—71no—
913C2×C22⋊C4—71no—
914C2×C22⋊C4—71no—
915C2×C22⋊C4—71no—
916C2×C42—71no—
917C2×C42—71no—
918C2×C42—71no—
919C2×C42—71no—
920C2×C42—71no—
921C2×C42—71no—
922C2×C42—71no—
923C2×C42—71no—
924C2×C42—71no—
925C2×C42—71no—
926C2×C42—282no—
927C2×C42C22×D711yescharacteristic
928C2×C42C22×D711yescharacteristic
929C2×C42C22×D711yescharacteristic
930#95—71no—
931#95—71no—
932#95—71no—
933#95—71no—
934#95—71no—
935#95—71no—
936#95—71no—
937#95—71no—
938#95—71no—
939#95—71no—
940#95—71no—
941#95—71no—
942#95—71no—
943#95—71no—
944#95—71no—
945#95—71no—
946#95—71no—
947#95—71no—
948#95—71no—
949#95—71no—
950#95—71no—
951#95—71no—
952#95—71no—
953#95—71no—
954#95—71no—
955#95—71no—
956#95—71no—
957#95—71no—
958#95—71no—
959#95—71no—
960#95—71no—
961#95—71no—
962#95C22×D711yescharacteristic
963#95C22×D711yescharacteristic
964#95C22×D711yescharacteristic
965#95C22×D711yescharacteristic
966#95C22×D711yescharacteristic
967#95C22×D711yescharacteristic
968#95C22×D711yescharacteristic
969#95C22×D711yescharacteristic
970#95C22×D711yescharacteristic
971#95C22×D711yescharacteristic
972#95C22×D711yescharacteristic
973#95C22×D711yescharacteristic
974#95C22×D711yescharacteristic
975#95C22×D711yescharacteristic
976#95C22×D711yescharacteristic
977#95C22×D711yescharacteristic
978#95C22×D711yescharacteristic
979#95C22×D711yescharacteristic
980#95C22×D711yescharacteristic
981#95C22×D711yescharacteristic
982C22×C7C22×#4111yescharacteristic
983C22×C7C2×H(5,𝔽2)11yescharacteristic
984C22×C7#58511yescharacteristic
985C22×C7#58511yescharacteristic
986C22×C7#58511yescharacteristic
987C22×C7#58511yescharacteristic
988C22×C7#58511yescharacteristic
989C2×D7—22no—
990C2×D7—22no—
991C2×D7—22no—
992C2×D7—41no—
993C2×D7—41no—
994C2×D7—41no—
995C2×D7—41no—
996C2×D7—41no—
997C2×D7—41no—
998C2×D7—41no—
999C2×D7—41no—
1000C2×D7—41no—
1001C2×D7—41no—
1002C2×D7—41no—
1003C2×D7—41no—
1004C2×D7—41no—
1005C2×D7—41no—
1006C2×D7—41no—
1007C2×D7—41no—
1008C2×D7—41no—
1009C2×D7—41no—
1010C2×D7—41no—
1011C2×D7—41no—
1012C2×D7—41no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C2×D7—41no—
1016C2×D7—41no—
1017C4×C7—22no—
1018C4×C7—22no—
1019C4×C7—41no—
1020C4×C7—41no—
1021C4×C7—41no—
1022C4×C7—41no—
1023C4×C7—41no—
1024C4×C7—41no—
1025C4×C7—41no—
1026C4×C7—41no—
1027C4×C7—41no—
1028C4×C7—41no—
1029C4×C7—41no—
1030C4×C7—41no—
1031C4×C7—41no—
1032Dic7—22no—
1033Dic7—41no—
1034Dic7—41no—
1035Dic7—41no—
1036Dic7—41no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7—41no—
1043Dic7—41no—
1044C24—71no—
1045C24—71no—
1046C24—71no—
1047C24—71no—
1048C2×D4—142no—
1049C2×D4—142no—
1050C2×D4—142no—
1051C2×D4—142no—
1052C2×D4—281no—
1053C2×D4—281no—
1054C2×D4—281no—
1055C2×D4—281no—
1056C2×D4—281no—
1057C2×D4—281no—
1058C2×D4—281no—
1059C2×D4—281no—
1060C2×D4—281no—
1061C2×D4—281no—
1062C2×D4—281no—
1063C2×D4—281no—
1064C2×D4—281no—
1065C2×D4—281no—
1066C22×C4—71no—
1067C22×C4—74no—
1068C22×C4—71no—
1069C22×C4—71no—
1070C22×C4—71no—
1071C22×C4—71no—
1072C22×C4—71no—
1073C22×C4—71no—
1074C22×C4—71no—
1075C22×C4—71no—
1076C22×C4—71no—
1077C22×C4—71no—
1078C22×C4—71no—
1079C22×C4—142no—
1080C22×C4—142no—
1081C22×C4—281no—
1082C22×C4—281no—
1083C22×C4—281no—
1084C22×C4—281no—
1085C22×C4—281no—
1086C22×C4—281no—
1087C22×C4—281no—
1088C22×C4—281no—
1089C22×C4—281no—
1090C22×C4—281no—
1091C22×C4—281no—
1092C22×C4—281no—
1093C22×C4—281no—
1094C22×C4—281no—
1095C22×C4—281no—
1096C22×C4C23×D711yescharacteristic
1097C22×C4C23×D711yescharacteristic
1098C22×C4C23×D711yescharacteristic
1099C22×C4C23×D711yescharacteristic
1100C22×C4C23×D711yescharacteristic
1101C22×C4C23×D711yescharacteristic
1102C22×C4C23×D711yescharacteristic
1103C22×C4C23×D711yescharacteristic
1104C22×C4C23×D711yescharacteristic
1105C22×C4C23×D711yescharacteristic
1106C22×C4C23×D711yescharacteristic
1107C22×C4C23×D711yescharacteristic
1108C22×C4C23×D711yescharacteristic
1109C22×C4C23×D711yescharacteristic
1110C22×C4C23×D711yescharacteristic
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—142no—
1124C4⋊C4—142no—
1125C4⋊C4—142no—
1126C4⋊C4—142no—
1127C4⋊C4—281no—
1128C4⋊C4—281no—
1129C4⋊C4—281no—
1130C4⋊C4—281no—
1131C4⋊C4—281no—
1132C4⋊C4—281no—
1133C4⋊C4—281no—
1134C4⋊C4—281no—
1135C4⋊C4—281no—
1136C4⋊C4—281no—
1137C4⋊C4—281no—
1138C4⋊C4—281no—
1139C4⋊C4—281no—
1140C4⋊C4—281no—
1141C4⋊C4—281no—
1142C4⋊C4—281no—
1143C4⋊C4—281no—
1144C4⋊C4—281no—
1145C4⋊C4—281no—
1146C4⋊C4—281no—
1147C22⋊C4—142no—
1148C22⋊C4—142no—
1149C22⋊C4—142no—
1150C22⋊C4—142no—
1151C22⋊C4—142no—
1152C22⋊C4—142no—
1153C22⋊C4—142no—
1154C22⋊C4—142no—
1155C22⋊C4—142no—
1156C22⋊C4—281no—
1157C22⋊C4—281no—
1158C22⋊C4—281no—
1159C22⋊C4—281no—
1160C22⋊C4—281no—
1161C22⋊C4—281no—
1162C22⋊C4—281no—
1163C22⋊C4—281no—
1164C22⋊C4—281no—
1165C22⋊C4—281no—
1166C22⋊C4—281no—
1167C22⋊C4—281no—
1168C22⋊C4—281no—
1169C22⋊C4—281no—
1170C22⋊C4—281no—
1171C22⋊C4—281no—
1172C22⋊C4—281no—
1173C22⋊C4—281no—
1174C22⋊C4—281no—
1175C22⋊C4—281no—
1176C22⋊C4—281no—
1177C22⋊C4—281no—
1178C22⋊C4—281no—
1179C22⋊C4—281no—
1180C22⋊C4—281no—
1181C22⋊C4—281no—
1182C22⋊C4—281no—
1183C22⋊C4—281no—
1184C22⋊C4—281no—
1185C22⋊C4—281no—
1186C22⋊C4—281no—
1187C22⋊C4—281no—
1188C22⋊C4—281no—
1189C42—22no—
1190C42—41no—
1191C42—41no—
1192C42—142no—
1193C42—142no—
1194C42—281no—
1195C42—281no—
1196C42—281no—
1197C42—281no—
1198C42—281no—
1199C42—281no—
1200C42—281no—
1201C42—281no—
1202C2×C7#345511yescharacteristic
1203C2×C7#350511yescharacteristic
1204C2×C7#351211yescharacteristic
1205C2×C7#353311yescharacteristic
1206C2×C7#353911yescharacteristic
1207C2×C7#356611yescharacteristic
1208C2×C7#356811yescharacteristic
1209D7—42no—
1210D7—81no—
1211D7—81no—
1212D7—81no—
1213C23—72no—
1214C23—141no—
1215C23—141no—
1216C23—141no—
1217C23—141no—
1218C23—141no—
1219C23—141no—
1220C23—141no—
1221C23—141no—
1222C23—141no—
1223C23—141no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23—141no—
1229C23—141no—
1230C23—141no—
1231C23—141no—
1232C23—141no—
1233C23—141no—
1234C23—141no—
1235C23—141no—
1236C23—141no—
1237C23—141no—
1238C23—141no—
1239C23—141no—
1240C23—141no—
1241C23C24×D711yescharacteristic
1242D4—284no—
1243D4—562no—
1244D4—562no—
1245D4—562no—
1246D4—562no—
1247D4—562no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—72no—
1292C2×C4—141no—
1293C2×C4—141no—
1294C2×C4—141no—
1295C2×C4—141no—
1296C2×C4—141no—
1297C2×C4—141no—
1298C2×C4—141no—
1299C2×C4—141no—
1300C2×C4—141no—
1301C2×C4—141no—
1302C2×C4—141no—
1303C2×C4—141no—
1304C2×C4—141no—
1305C2×C4—141no—
1306C2×C4—141no—
1307C2×C4—141no—
1308C2×C4—141no—
1309C2×C4—141no—
1310C2×C4—141no—
1311C2×C4—141no—
1312C2×C4—141no—
1313C2×C4—141no—
1314C2×C4—141no—
1315C2×C4—141no—
1316C2×C4—141no—
1317C2×C4—141no—
1318C2×C4—141no—
1319C2×C4—141no—
1320C2×C4—141no—
1321C2×C4—141no—
1322C2×C4—141no—
1323C2×C4—141no—
1324C2×C4—141no—
1325C2×C4—141no—
1326C2×C4—141no—
1327C2×C4—284no—
1328C2×C4—284no—
1329C2×C4—284no—
1330C2×C4—284no—
1331C2×C4—562no—
1332C2×C4—562no—
1333C2×C4D7×#4112yes—
1334C2×C4#655312yes—
1335C7#3677011yescharacteristic, complemented, Sylow
1336C22—142no—
1337C22—142no—
1338C22—142no—
1339C22—281no—
1340C22—281no—
1341C22—281no—
1342C22—281no—
1343C22—281no—
1344C22—281no—
1345C22—281no—
1346C22—281no—
1347C22—281no—
1348C22—281no—
1349C22—281no—
1350C22—281no—
1351C22—281no—
1352C22—281no—
1353C22—281no—
1354C22—281no—
1355C22—281no—
1356C22—281no—
1357C22—281no—
1358C22—281no—
1359C22—281no—
1360C22—281no—
1361C22—281no—
1362C22—281no—
1363C22—281no—
1364C22C2×D7×#4111yescharacteristic
1365C22C2×#655311yescharacteristic
1366C22#9061611yescharacteristic
1367C22#9061811yescharacteristic
1368C22#9062011yescharacteristic
1369C22#9062011yescharacteristic
1370C22#9062011yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—142no—
1387C4—281no—
1388C4—281no—
1389C4—281no—
1390C4—281no—
1391C4—281no—
1392C4—281no—
1393C4—281no—
1394C4—281no—
1395C4—281no—
1396C4—281no—
1397C4—281no—
1398C2—282no—
1399C2—561no—
1400C2—561no—
1401C2—561no—
1402C2#1174356311yescharacteristic
1403C2#1174356611yescharacteristic
1404C2#1174361511yescharacteristic
1405C2#1174390111yescharacteristic
1406C2#1174393211yescharacteristic
1407C2#1174397911yescharacteristic
1408C2#1174419411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2766C2
prime radical#11732605C2
hypercenter#2766D7
hypocenterC7#36770
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2766

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C7×#2766C2semidirect
2. #11735868C2semidirect
3. #11735860C2semidirect
4. #11735845C2semidirect
5. #11735844C2semidirect
6. #11735635C2semidirect
7. #11735611C2semidirect
8. #11735434C2semidirect
9. #11735427C2semidirect
10. #11735345C2semidirect
11. #11735266C2semidirect
12. #11735266C2semidirect
13. #11735206C2semidirect
14. #11733731C2semidirect
15. #11733617C2semidirect
16. #11733567C2semidirect
17. #11733422C2semidirect
18. #11732872C2semidirect
19. #11732872C2semidirect
20. #11732777C2semidirect
21. #11732661C2semidirect
23. #11732599C2semidirect
24. #11732563C2semidirect
25. #11732514C2semidirect
26. #11732401C2semidirect
27. #11732382C2semidirect
28. #11731758C2semidirect
29. #11731750C2semidirect
30. #11731702C2semidirect
31. #11731694C2semidirect
360. #2766D7semidirect
1335. C7#36770semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C7×#27662
#117358682
#117358602
#117358452
#117358442
#117356352
#117356112
#117354342
#117354272
#117353452
#117352662
#117352062
#117337312
#117336172
#117335672
#117334222
#117328722
#117327772
#117326612
#117326052
#117325992
#117325632
#117325142
#117324012
#117323822
#117317582
#117317502
#117317022
#117316942
#367707